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Two closed pipe produces 10 beats per second when emitting their fundamental nodes. If their lengths are in the ratio of 25: 26 their fundamental frequency in Hz are (a) 270, 280 (b) 260, 270 (c) 260, 250 (d) 240, 250

Two closed pipe produces 10 beats per second when emitting their fundamental nodes. If their lengths are in the ratio of 25: 26 their fundamental frequency in Hz are
(a) 270, 280
(b) 260, 270
(c) 260, 250
(d) 240, 250

Grade:Upto college level

2 Answers

Arun
25763 Points
11 months ago
We know that the fundamental frequency of a closed end pipe is given by
 
f=4Lv
 
f1=4L1v and f2=4L2v
 
f2f1=L1L2=2526
 
f1=2526f2
 
Now, beat=f1f2=10
 
2526f2f2=10
 
f2=250Hz
 
And, f1=2526f2=260Hz
 
Answer-(C)
Vikas TU
14149 Points
11 months ago
Dear student 
Above ans is not understandable 
f = v/4L 
f1 = v/4L1 
f2 = v/4L2 
f1/f2 = 26/25 
f1 - f2 =10 
26/25 f2 - f2 = 10 
f2 = 250 Hz 
f1 = 26/25 f2 = 260 Hz 
 

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